Question

Maths- Class 9
Chapter- Number System
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Answer 1

Step-by-step explanation:

Hope it helps u Fallow Me

Answer 2

1. On rationalizing the denominator of $\sf{\frac{1}{\sqrt{7} - \sqrt{6}}}$

• Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.
• Make sure all radical are simplified
• Simplify the fraction if needed.

Now step by step explanation -'/

$\huge\sf{\frac{1}{\sqrt{7} - \sqrt{6}}}$ × $\huge\sf{\frac{\sqrt{7} + \sqrt{6}}{\sqrt{7} + \sqrt{6}}}$

$\huge\sf{\frac{\sqrt{7} + \sqrt{6}}{\sqrt{7}^2 - \sqrt{6}^2}}$

$\huge\sf{\frac{\sqrt{7} + \sqrt{6}}{1}}$

$\huge\sf\purple{(c) . \sqrt{7} + \sqrt{6}}$

2. The value of $\sf{64}^{\frac{1}{2}}$

$\huge\sf{64 = 8 × 8}$

replacing 64 as 8×8 as 8²

$\huge\sf{8²}^{\frac{1}{2}}$

$\huge\sf\green{(a) . 8}$

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More information:

$\boxed{Integers -'/}$ integers are the numbers which can be positive, negative or zero, but cannot be a fraction.

These numbers are used to perform various arithmetic operations, like addition, subtraction, multiplication and division. The examples of integers are, 1, 2, 5,8, -9, -12, etc. The symbol of integers is “Z“.

$\boxed{Rules \:of \:Integers}$

Rules defined for integers are:

• Sum of two positive integers is an integer
• Sum of two negative integers is an integer
• Product of two positive integers is an integer
• Product of two negative integers is an integer
• Sum of an integer and its inverse is equal to zero
• Product of an integer and its reciprocal is equal to 1